Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:02 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a mean structure CFA
  	for continuous factor indicators

  montecarlo:
  	names = y1a y1b y1c y2a y2b y2c;
  	nobs = 500;
  	nreps = 1;
  	save = ex5.9.dat;

  model population:
  	
  	f1 by y1a-y1c@1;
  	f2 by y2a-y2c@1;
  	[y1a*2 y1b*2 y1c*2] (1);	
  	[y2a*3 y2b*3 y2c*3] (2);

  	y1a-y2c*.5;

  	f1-f2*1; f1 with f2*.5;

  model:
  	
  	f1 by y1a-y1c@1;
  	f2 by y2a-y2c@1;
  	[y1a*2 y1b*2 y1c*2] (1);	
  	[y2a*3 y2b*3 y2c*3] (2);

  	y1a-y2c*.5;

  	f1-f2*1; f1 with f2*.5;

  output:
  	tech9;



INPUT READING TERMINATED NORMALLY



this is an example of a mean structure CFA
for continuous factor indicators

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                    6
Number of independent variables                                  0
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y1A         Y1B         Y1C         Y2A         Y2B         Y2C

Continuous latent variables
   F1          F2


Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
      1         1.981         2.015         2.022         2.985         2.986


           Means
              Y2C
              ________
      1         3.033


           Covariances
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
 Y1A            1.478
 Y1B            1.009         1.477
 Y1C            0.950         1.011         1.458
 Y2A            0.490         0.458         0.473         1.513
 Y2B            0.459         0.444         0.434         0.978         1.499
 Y2C            0.507         0.474         0.520         0.929         1.020


           Covariances
              Y2C
              ________
 Y2C            1.516


           Correlations
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
 Y1A            1.000
 Y1B            0.683         1.000
 Y1C            0.647         0.689         1.000
 Y2A            0.328         0.306         0.319         1.000
 Y2B            0.308         0.298         0.294         0.649         1.000
 Y2C            0.339         0.317         0.350         0.613         0.677


           Correlations
              Y2C
              ________
 Y2C            1.000


MODEL FIT INFORMATION

Number of Free Parameters                       11

Loglikelihood

    H0 Value

        Mean                             -4150.048
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -4150.048      -4150.048
           0.980       0.000        -4150.048      -4150.048
           0.950       0.000        -4150.048      -4150.048
           0.900       0.000        -4150.048      -4150.048
           0.800       0.000        -4150.048      -4150.048
           0.700       0.000        -4150.048      -4150.048
           0.500       0.000        -4150.048      -4150.048
           0.300       0.000        -4150.048      -4150.048
           0.200       0.000        -4150.048      -4150.048
           0.100       0.000        -4150.048      -4150.048
           0.050       0.000        -4150.048      -4150.048
           0.020       0.000        -4150.048      -4150.048
           0.010       0.000        -4150.048      -4150.048

    H1 Value

        Mean                             -4143.626
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -4143.626      -4143.626
           0.980       0.000        -4143.626      -4143.626
           0.950       0.000        -4143.626      -4143.626
           0.900       0.000        -4143.626      -4143.626
           0.800       0.000        -4143.626      -4143.626
           0.700       0.000        -4143.626      -4143.626
           0.500       0.000        -4143.626      -4143.626
           0.300       0.000        -4143.626      -4143.626
           0.200       0.000        -4143.626      -4143.626
           0.100       0.000        -4143.626      -4143.626
           0.050       0.000        -4143.626      -4143.626
           0.020       0.000        -4143.626      -4143.626
           0.010       0.000        -4143.626      -4143.626

Information Criteria

    Akaike (AIC)

        Mean                              8322.096
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8322.096       8322.096
           0.980       0.000         8322.096       8322.096
           0.950       0.000         8322.096       8322.096
           0.900       0.000         8322.096       8322.096
           0.800       0.000         8322.096       8322.096
           0.700       0.000         8322.096       8322.096
           0.500       0.000         8322.096       8322.096
           0.300       0.000         8322.096       8322.096
           0.200       0.000         8322.096       8322.096
           0.100       0.000         8322.096       8322.096
           0.050       0.000         8322.096       8322.096
           0.020       0.000         8322.096       8322.096
           0.010       0.000         8322.096       8322.096

    Bayesian (BIC)

        Mean                              8368.456
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8368.456       8368.456
           0.980       0.000         8368.456       8368.456
           0.950       0.000         8368.456       8368.456
           0.900       0.000         8368.456       8368.456
           0.800       0.000         8368.456       8368.456
           0.700       0.000         8368.456       8368.456
           0.500       0.000         8368.456       8368.456
           0.300       0.000         8368.456       8368.456
           0.200       0.000         8368.456       8368.456
           0.100       0.000         8368.456       8368.456
           0.050       0.000         8368.456       8368.456
           0.020       0.000         8368.456       8368.456
           0.010       0.000         8368.456       8368.456

    Sample-Size Adjusted BIC (n* = (n + 2) / 24)

        Mean                              8333.542
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8333.542       8333.542
           0.980       0.000         8333.542       8333.542
           0.950       0.000         8333.542       8333.542
           0.900       0.000         8333.542       8333.542
           0.800       0.000         8333.542       8333.542
           0.700       0.000         8333.542       8333.542
           0.500       0.000         8333.542       8333.542
           0.300       0.000         8333.542       8333.542
           0.200       0.000         8333.542       8333.542
           0.100       0.000         8333.542       8333.542
           0.050       0.000         8333.542       8333.542
           0.020       0.000         8333.542       8333.542
           0.010       0.000         8333.542       8333.542

Chi-Square Test of Model Fit

        Degrees of freedom                      16

        Mean                                12.844
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            5.812         12.844
           0.980       1.000            6.614         12.844
           0.950       1.000            7.962         12.844
           0.900       1.000            9.312         12.844
           0.800       1.000           11.152         12.844
           0.700       1.000           12.624         12.844
           0.500       0.000           15.338         12.844
           0.300       0.000           18.418         12.844
           0.200       0.000           20.465         12.844
           0.100       0.000           23.542         12.844
           0.050       0.000           26.296         12.844
           0.020       0.000           29.633         12.844
           0.010       0.000           32.000         12.844

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.000          0.000
           0.980       0.000            0.000          0.000
           0.950       0.000            0.000          0.000
           0.900       0.000            0.000          0.000
           0.800       0.000            0.000          0.000
           0.700       0.000            0.000          0.000
           0.500       0.000            0.000          0.000
           0.300       0.000            0.000          0.000
           0.200       0.000            0.000          0.000
           0.100       0.000            0.000          0.000
           0.050       0.000            0.000          0.000
           0.020       0.000            0.000          0.000
           0.010       0.000            0.000          0.000

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.022
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.022          0.022
           0.980       0.000            0.022          0.022
           0.950       0.000            0.022          0.022
           0.900       0.000            0.022          0.022
           0.800       0.000            0.022          0.022
           0.700       0.000            0.022          0.022
           0.500       0.000            0.022          0.022
           0.300       0.000            0.022          0.022
           0.200       0.000            0.022          0.022
           0.100       0.000            0.022          0.022
           0.050       0.000            0.022          0.022
           0.020       0.000            0.022          0.022
           0.010       0.000            0.022          0.022


MODEL RESULTS

                           ESTIMATES              S. E.     M. S. E.  95%  % Sig
              Population   Average   Std. Dev.   Average             Cover Coeff
 F1       BY
  Y1A              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y1B              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y1C              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 F2       BY
  Y2A              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2B              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2C              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 F1       WITH
  F2               0.500     0.4716     0.0000     0.0558     0.0008 1.000 1.000

 Intercepts
  Y1A              2.000     2.0066     0.0000     0.0480     0.0000 1.000 1.000
  Y1B              2.000     2.0066     0.0000     0.0480     0.0000 1.000 1.000
  Y1C              2.000     2.0066     0.0000     0.0480     0.0000 1.000 1.000
  Y2A              3.000     3.0012     0.0000     0.0481     0.0000 1.000 1.000
  Y2B              3.000     3.0012     0.0000     0.0481     0.0000 1.000 1.000
  Y2C              3.000     3.0012     0.0000     0.0481     0.0000 1.000 1.000

 Variances
  F1               1.000     0.9926     0.0000     0.0733     0.0001 1.000 1.000
  F2               1.000     0.9803     0.0000     0.0737     0.0004 1.000 1.000

 Residual Variances
  Y1A              0.500     0.5117     0.0000     0.0447     0.0001 1.000 1.000
  Y1B              0.500     0.4419     0.0000     0.0409     0.0034 1.000 1.000
  Y1C              0.500     0.4887     0.0000     0.0434     0.0001 1.000 1.000
  Y2A              0.500     0.5899     0.0000     0.0504     0.0081 1.000 1.000
  Y2B              0.500     0.4780     0.0000     0.0443     0.0005 1.000 1.000
  Y2C              0.500     0.5309     0.0000     0.0471     0.0010 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.940E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
      1           1             1             1             2             2


           NU
              Y2C
              ________
      1           2


           LAMBDA
              F1            F2
              ________      ________
 Y1A                0             0
 Y1B                0             0
 Y1C                0             0
 Y2A                0             0
 Y2B                0             0
 Y2C                0             0


           THETA
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
 Y1A                3
 Y1B                0             4
 Y1C                0             0             5
 Y2A                0             0             0             6
 Y2B                0             0             0             0             7
 Y2C                0             0             0             0             0


           THETA
              Y2C
              ________
 Y2C                8


           ALPHA
              F1            F2
              ________      ________
      1           0             0


           BETA
              F1            F2
              ________      ________
 F1                 0             0
 F2                 0             0


           PSI
              F1            F2
              ________      ________
 F1                 9
 F2                10            11


     STARTING VALUES


           NU
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
      1         2.000         2.000         2.000         3.000         3.000


           NU
              Y2C
              ________
      1         3.000


           LAMBDA
              F1            F2
              ________      ________
 Y1A            1.000         0.000
 Y1B            1.000         0.000
 Y1C            1.000         0.000
 Y2A            0.000         1.000
 Y2B            0.000         1.000
 Y2C            0.000         1.000


           THETA
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
 Y1A            0.500
 Y1B            0.000         0.500
 Y1C            0.000         0.000         0.500
 Y2A            0.000         0.000         0.000         0.500
 Y2B            0.000         0.000         0.000         0.000         0.500
 Y2C            0.000         0.000         0.000         0.000         0.000


           THETA
              Y2C
              ________
 Y2C            0.500


           ALPHA
              F1            F2
              ________      ________
      1         0.000         0.000


           BETA
              F1            F2
              ________      ________
 F1             0.000         0.000
 F2             0.000         0.000


           PSI
              F1            F2
              ________      ________
 F1             1.000
 F2             0.500         1.000


     POPULATION VALUES


           NU
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
 1              2.000         2.000         2.000         3.000         3.000


           NU
              Y2C
              ________
 1              3.000


           LAMBDA
              F1            F2
              ________      ________
 Y1A            1.000         0.000
 Y1B            1.000         0.000
 Y1C            1.000         0.000
 Y2A            0.000         1.000
 Y2B            0.000         1.000
 Y2C            0.000         1.000


           THETA
              Y1A           Y1B           Y1C           Y2A           Y2B
              ________      ________      ________      ________      ________
 Y1A            0.500
 Y1B            0.000         0.500
 Y1C            0.000         0.000         0.500
 Y2A            0.000         0.000         0.000         0.500
 Y2B            0.000         0.000         0.000         0.000         0.500
 Y2C            0.000         0.000         0.000         0.000         0.000


           THETA
              Y2C
              ________
 Y2C            0.500


           ALPHA
              F1            F2
              ________      ________
 1              0.000         0.000


           BETA
              F1            F2
              ________      ________
 F1             0.000         0.000
 F2             0.000         0.000


           PSI
              F1            F2
              ________      ________
 F1             1.000
 F2             0.500         1.000


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    Y1A
    Y1B
    Y1C
    Y2A
    Y2B
    Y2C

  Save file
    ex5.9.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:02:52
        Ending Time:  22:02:52
       Elapsed Time:  00:00:00



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